Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4550h |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1169588768484500000 = 25 · 56 · 712 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-782342,-261016684] |
[a1,a2,a3,a4,a6] |
Generators |
[-457:1184:1] |
Generators of the group modulo torsion |
j |
3389174547561866673/74853681183008 |
j-invariant |
L |
2.8918237505421 |
L(r)(E,1)/r! |
Ω |
0.16074375122043 |
Real period |
R |
1.4991893041908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36400bk3 40950ev3 182a3 31850e3 |
Quadratic twists by: -4 -3 5 -7 |